# Algebra

Given that $x^n - \frac1{x^n}$ is expressible as a polynomial in $x - \frac1x$ with real coefficients only if $n$ is an odd positive integer, find $P(z)$ so that $P\left(x-\frac1x\right) = x^5 - \frac1{x^5}.$

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1. you want to try that without TeX?

x^n - 1/x^n = p(x - 1/x)
...

where does z come in?

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posted by Steve

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